Question 1202564
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Find four consecutive odd integers whose sum is 296.
Enter your answer as a list of numbers separated by a comma: a,b,c,d
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        The solution in the post by @josgarithmetic,  giving the answer  145,  147,  149,  151,  is  INCORRECT,
        as anybody can check by adding these numbers.


        I came to bring you a correct solution.



<pre>
Let n be the smallest of the four consecutive odd integer numbers.

Then the numbers are

    n, (n+2), (n+4), (n+6).


Their sum is 296, so we write this equation

    n + (n+2) + (n+4) + (n+6) = 296.


Simplify this equation and find n

    4n + 12 = 296

    4n = 296 - 12

    4n = 284

     n = 284/4 = 71.


The numbers are 71, 73, 75 and 77.    <U>ANSWER</U>


<U>CHECK</U>.  71 + 73 + 75 + 77 = 296.    ! correct !
</pre>

Solved (correctly).